## Latest Articles

### For Fluid Equations, a Steady Flow of Progress

A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.

### Famous Fluid Equations Spring a Leak

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.

### Mathematician Proves Huge Result on ‘Dangerous’ Problem

Mathematicians regard the Collatz conjecture as a quagmire and warn each other to stay away. But now Terence Tao has made more progress than anyone in decades.

### Mathematicians Catch a Pattern by Figuring Out How to Avoid It

We finally know how big a set of numbers can get before it has to contain a pattern known as a “polynomial progression.”

### Mathematicians Cut Apart Shapes to Find Pieces of Equations

New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.

### Google and IBM Clash Over Milestone Quantum Computing Experiment

Today Google announced that it achieved “quantum supremacy.” Its chief quantum computing rival, IBM, said it hasn’t. The disagreement hinges on what the term really means.

### Mathematicians Begin to Tame Wild ‘Sunflower’ Problem

A major advance toward solving the 60-year-old sunflower conjecture is shedding light on how order begins to appear as random systems grow in size.

### With Category Theory, Mathematics Escapes From Equality

Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.

### Big Question About Primes Proved in Small Number Systems

The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems.